Analytic aspects of Sobolev orthogonal polynomials revisited
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. V: quadrature and orthogonal polynomials
Zero location for nonstandard orthogonal polynomials
Journal of Approximation Theory
Orthogonal polynomials for exponential weights x2ρe-2Q(x) on [0, d)
Journal of Approximation Theory
Orthogonal polynomials for exponential weights x2ρe-2Q(x) on [0,d), II
Journal of Approximation Theory
Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line
Journal of Approximation Theory
Hi-index | 7.33 |
We obtain the (contracted) weak zero asymptotics for orthogonal polynomials with respect to Sobolev inner products with exponential weights in the real semiaxis, of the form x^@ce^-^@f^(^x^), with @c0, which include as particular cases the counterparts of the so-called Freud (i.e., when @f has a polynomial growth at infinity) and Erdos (when @f grows faster than any polynomial at infinity) weights. In addition, the boundness of the distance of the zeros of these Sobolev orthogonal polynomials to the convex hull of the support and, as a consequence, a result on logarithmic asymptotics are derived.